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Finding the Third Proportional to 331.13 and 484.69

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Solution

The third proportional to 331.13 and 484.69 is: 709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.13 : 484.69 = 484.69 : x
  2. Step 2: Convert to fraction form
    331.13/484.69 = 484.69/x
  3. Step 3: Cross multiply
    331.13x = 484.69 × 484.69
  4. Step 4: Simplify right side
    331.13x = 234,921.97
  5. Step 5: Solve for x
    x = 234,921.97/331.13
  6. Step 6: Final answer
    x = 709.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.